Consider the function f(x) = -3x + 5. What is the x-coordinate of the absolute minimum of this function on the interval [-2,3]? a. This function does not have an absolute minimum on this interval. b. x = 0
c. x = 3
d. x = 0.5
e. x = -2

Answer:

B

Step-by-step explanation:

Because if you multiply the fractions by 6, the denominator would be a multiple.

For example, 2/3y x6/1= 12/3y= 4y

After making the extra lump sum payment of $16,000, there are 346 monthly payments remaining and Your net interest savings over the life of the loan, assuming it is held to its maturity, is $86,353.39.

To determine the number of monthly payments remaining and the net interest savings over the life of the loan, we need to calculate the effects of the extra lump sum payment on the mortgage.

Given:

Loan amount (principal balance) = $250,000

Interest rate = 6.50%

Discount points = 2

Extra lump sum payment = $16,000

A. To calculate the number of monthly payments remaining after the extra lump sum payment, we need to subtract the lump sum payment from the principal balance and then calculate the remaining payments based on the loan terms.

Principal balance after the lump sum payment:

$250,000 - $16,000 = $234,000

Using a mortgage calculator or loan amortization schedule, we can determine the remaining monthly payments based on the principal balance, interest rate, and loan term. In this case, assuming a 30-year fixed-rate mortgage, there are 346 monthly payments remaining.

B. To calculate the net interest savings over the life of the loan, we need to compare the total interest paid with and without the extra lump sum payment.

Total interest paid without lump sum payment:

Total interest = Monthly payment * Number of payments - Principal balance

Total interest = Monthly payment * 360 - $250,000

Total interest paid with lump sum payment:

Total interest = Monthly payment * Number of payments - Principal balance

Total interest = Monthly payment * 346 - $234,000

Net interest savings = Total interest paid without lump sum payment - Total interest paid with lump sum payment

Net interest savings = ($Monthly payment * 360 - $250,000) - ($Monthly payment * 346 - $234,000)

To calculate the monthly payment, we can use the loan amount, interest rate, and loan term in a mortgage calculator or loan amortization formula. Let's assume the monthly payment is $1,580.17.

Net interest savings = ($1,580.17 * 360 - $250,000) - ($1,580.17 * 346 - $234,000)

Net interest savings = $86,353.39

Therefore, the number of monthly payments remaining after the extra lump sum payment is 346, and the net interest savings over the life of the loan is $86,353.39.

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Answer:

Step-by-step explanation:

given:

x=3  and   y=-4

to find:

4x-y

substitute the value of x and y

=4*3-(-4)

=12+4

=16

-x+y

substitute the vaue of x and y

=-3+(-4)

=-3-4

=-7

7-y-x

substitute the value of x and y

=7-(-4)-3

=7+4-3

=11-3

=8

Hope this helps u !!

The area of the rectangle is 200 square centimeters

The area of a rectangle can be found by multiplying its length and width. In this case, the width is given as w and the length is given as 2w.

Therefore, the area of the rectangle can be found using the expression 2w^2.

If the width of the rectangle is 10 centimeters, we can substitute this value into the expression for the area to find the area in square centimeters.

Area = 2w^2

= 2(10)^2

= 2(100)

= 200 square centimeters

Therefore, the area of the rectangle is 200 square centimeters

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Answer:

Step 1, all the exponents are increased by 4

Step-by-step explanation:

The first incorrect step occurred in Step 1, where all the exponents were increased by 4.

This is mathematically incorrect due to exponential rules. When distributing exponents inside parentheses, we have to multiply the existing exponents inside the parentheses by the exponent outside the parentheses.

For example, (x²)³ is not x²⁺³, but rather, x⁽²⁾⁽³⁾.

We multiply the exponents instead of adding them together.

Therefore, the correct Step 1 should multiply all the variables' exponents by 4.

Steps 2 and 3 are correct since we do add the exponents when multiplying exponents with the same base, and we do subtract exponents with the same base when dividing.  

Answer:

She needs to buy 420 candy hearts.

Step-by-step explanation:

15*28 = 420

15 per student, and there is 28 students

The number of candy hearts that she needs to purchase will be 420.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Miss Hillard is buying treats hearts to disperse to 28 understudies in her number-related class and Valentine's Day issue would like every understudy to get at least 15 sweets hearts.

Then the number of candy hearts that she needs to purchase will be given as,

⇒ 15 x 28

⇒ 420

The number of candy hearts that she needs to purchase will be 420.

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Answer:

Where I can't see the pattern made from sticks?

We do not see any image or triangle in the question, but we can explain how to calculate the area of a triangle.

In order to calculate the area of a triangle, we can use the formula;

`Area = (Base × Height) / 2`

Where the Base is the length of the bottom of the triangle and the Height is the length of the vertical line between the base and the tip of the triangle.

So, with this formula, we can calculate the area of any triangle if we have the values of its base and height.

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Answer:

.

Step-by-step explanation:

Answer:

438

Step-by-step explanation:

5,256 divided by 12 is 438

Answer:

the answer to the question is online if you

Answer:

32 CDs, 13 Videos

Step-by-step explanation:

You can represent this question using variables.

Let x = #CDs sold, Let y = #videos sold.

You can formula two equations with the information given:

3x + 7y = 187

x + y = 45

Substitute x into the equation above by reducing the equation below:

x + y = 45 -> x = 45 -y

Since we are now able to remove x from the equation, plug in your new value into the equation above.

3(45-y) + 7y =187

135 - 3y +7y = 187

135 + 4y = 187

4y = 52

y = 13

Knowing the value of y, simply plug in this y value to solve for x:

x + 13 = 45

x = 32

Answer:

see below

Step-by-step explanation:

When we simplify we get x > -28.5 (since dividing an inequality by a negative number flips the sign). Therefore its graph would be an open circle at –28.5 and an arrow pointing right.

Answer:

A

Explanation:

It is easy (Not trying to be mean)

Answer: viedo yt

Step-by-step explanation:

if i was you go look at a yt viedo and it is easier becuase thats what helped me when i was in 6th grade we stared early so hope that helps

Answer:

choice C

Step-by-step explanation:

    0 +  3x⁴ + 5x³ - 4x⁸ - 0

-  (2x⁵ - 2x⁴ + 4x³ -  0   - 5)

=  2x⁵ +5x⁴ +  x³ - 4x² + 5

Subtract column by column of like terms, put 0's where there is no like term, change signs inside the parentheses of the second expression because you are subtracting.

Answer: 16

Step-by-step explanation:

12+4= 16

Answer:

28

Step-by-step explanation:

let the number be n then increased by 20 = n + 20 and

n + 20 = 48 ( subtract 20 from both sides )

n = 28

We have shown that X¯ − Y¯ is a consistent estimator of µ1 − µ2.

To show that X¯ − Y¯ is a consistent estimator of µ1 − µ2, we need to demonstrate that it converges in probability to µ1 − µ2 as the sample size n approaches infinity.

First, let's define X¯ and Y¯:

X¯ = (X1 + X2 + ... + Xn) / n

Y¯ = (Y1 + Y2 + ... + Yn) / n

Now, let's consider the difference X¯ − Y¯:

X¯ − Y¯ = (X1 + X2 + ... + Xn) / n - (Y1 + Y2 + ... + Yn) / n

Using algebraic manipulation, we can rewrite this as:

X¯ − Y¯ = [(X1 - Y1) + (X2 - Y2) + ... + (Xn - Yn)] / n

Since X1, X2, ..., Xn and Y1, Y2, ..., Yn are independent random samples, the individual differences (X1 - Y1), (X2 - Y2), ..., (Xn - Yn) are also independent.

Now, let's calculate the expected value and variance of X¯ − Y¯:

E(X¯ − Y¯) = E[(X1 - Y1) + (X2 - Y2) + ... + (Xn - Yn)] / n

          = [E(X1 - Y1) + E(X2 - Y2) + ... + E(Xn - Yn)] / n

          = [µ1 - µ2 + µ1 - µ2 + ... + µ1 - µ2] / n

          = n(µ1 - µ2) / n

          = µ1 - µ2

Var(X¯ − Y¯) = \(Var[(X1 - Y1) + (X2 - Y2) + ... + (Xn - Yn)] / n^2\)

           =\([Var(X1 - Y1) + Var(X2 - Y2) + ... + Var(Xn - Yn)] / n^2\)

          \(= [σ1^2 + σ2^2 + ... + σ1^2 + σ2^2] / n^2\)

           = \((nσ1^2 + nσ2^2) / n^2\)

           = \((σ1^2 + σ2^2) / n\)

As n approaches infinity, Var(X¯ − Y¯) approaches 0, indicating that the estimator X¯ − Y¯ is consistent.

Therefore, we have shown that X¯ − Y¯ is a consistent estimator of µ1 − µ2.

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Suppose that X1, X2, . . . , Xn and Y1, Y2, . . . , Yn are independent random sample from populations with mean µ1 and µ2 and variances σ(1)^2 1 and σ (2)^ 2 , respectively. Show that X¯ − Y¯ is a consistent estimator of µ1 − µ2.

The volume of cuboid with dimensions 9cm × 4cm × 5cm is 180 cm³

We know that the formula for the volume of the cuboid is:

V = l × w × h

where, V is the volume of the cuboid

l is the length of the cuboid

w is the  width of the cuboid

and h is the height of the cuboid

Here, the length of the cuboid is l = 9 cm,

the width of the cuboid is w = 4 cm

and the height of the cuboid is h = 5 cm

Using above formula,

V = l × w × h

V = 9 × 4 × 5

V = 180 cubic cm

Therefore, the required volume is 180 cubic centimeters

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Answer:

x > 6

Step-by-step explanation:

Given

3(x + 4) - 5(x - 1) < 5 ← distribute and simplify left side

3x + 12 - 5x + 5 < 5

- 2x + 17 < 5 ( subtract 17 from both sides )

- 2x < - 12

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative value.

x > 6

about 13/km will be the answer

The diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

To convert the diameter of Earth from miles to kilometers, we can multiply the given diameter in miles by the conversion factor of 1.6 kilometers per mile.

Given that Earth's diameter is 7,926 miles, we can calculate its diameter in kilometers as follows:

Diameter in kilometers = Diameter in miles × Conversion factor

Diameter in kilometers = 7,926 miles × 1.6 kilometers/mile

Diameter in kilometers = 12,681.6 kilometers

Rounding this value to the nearest whole number, we get 12,682 kilometers.

Therefore, the correct answer is option D: 12,682 km.

Option A: 49,553 km is not the correct answer. It is not consistent with the given diameter of Earth.

Option B: 120,586 km is also not the correct answer. It is not consistent with the given diameter of Earth.

Option C: 1,392,650 km is significantly larger than the actual diameter of Earth and is not a plausible value.

In conclusion, the diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

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Answer:

  the can with the 5-inch radius will cost more

Step-by-step explanation:

The cost will be given by the formula ...

  cost = 1.40 × (top & bottom area) + 0.90 × (lateral area)

In terms of radius and height the areas are ...

  top & bottom area = 2πr²

  lateral area = 2πrh

So, the total cost of a can with radius r and height h is ...

  c(r, h) = 1.40·2πr² +0.90·2πrh

Filling in the given values and doing the arithmetic, we find the costs to be ...

  c(4, 5) = $253.84

  c(5, 4) = $333.01

The cost of the can with the 5-inch radius is the greatest.

Answer:

The cylinder with radius of 5 inches and height of 4 inches costs more to manufacture.

Step-by-step explanation:

First Can:

Top and Bottom Surface Area = 2(pi(4)^2) = 2(16pi) = 32 pi = 100.53 square inches

Cost for top and bottom surface area = 1.40 * 100.53 = $140.74

Curved Surface Area = 2pi*r*h = 2*pi*4*5 = 40 pi = 125.66 square inches

Cost for Curved Surface Area = 125.66 * 0.90 = $113.10

Total Cost = $140.74 + $113.10 = $253.84

Second Can

Top and Bottom Surface Area = 2(pi(5)^2) = 2(25pi) = 50 pi = 157.08 square inches

Cost for top and bottom surface area = 1.40 * 157.08 = $219.91

Curved Surface Area = 2pi*r*h = 2*pi*5*4 = 40 pi = 125.66 square inches

Cost for Curved Surface Area = 125.66 * 0.90 = $113.10

Total Cost = $219.91 + $113.10 = $333.01

So, the cylinder with radius of 5 inches and height of 4 inches costs more to manufacture.

Answer:

yesrrrrrrrrrrreerrrrrrrreeeeeer

The significant factorial effects in the given data are the main effect of Factor A, the main effect of Factor B, and the two-way interaction effect between Factors A and B.

To determine the significant factorial effects, we need to analyze the data and calculate the effects of each factor and their interactions.

First, let's calculate the main effects of Factors A, B, and C. The main effect represents the average difference in response when only one factor is changed while keeping other factors constant.

For Factor A, the average response for the "-" level is \(\frac{(60 + 82 + 85 + 61)}{4} = 72\), and for the "+" level, it is \(\frac{(62 + 86 + 85 + 61)}{4} = 73\). Therefore, the main effect of Factor A is 73 - 72 = 1.

For Factor B, the average response for the "-" level is \(\frac{(60 + 62 + 85 + 85)}{4} = 73\), and for the "+" level, it is \(\frac{(82 + 86 + 61 + 61)}{4} = 72\). Thus, the main effect of Factor B is 72 - 73 = -1.

For Factor C, the average response for the "-" level is \(\frac{(60 + 62 + 82 + 86)}{4} = 72\). The average response for the "+" level is also 72. Hence, the main effect of Factor C is 0.

Next, let's calculate the two-way interaction effects. The two-way interaction effect represents the combined effect of two factors on the response.

For the interaction effect between Factors A and B, we can calculate the differences in the average responses for different combinations of the two factors.

For the "-/-" combination, the average response is 60.

For the "+/-" combination, the average response is 62.

For the "-/+" combination, the average response is 61.

For the "+/+" combination, the average response is 61.

The differences between these average responses are all 0, indicating no interaction effect between Factors A and B.

Therefore, the significant factorial effects in the given data are the main effect of Factor A, the main effect of Factor B, and the absence of a significant interaction effect between Factors A and B.

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The complete question is:

3. A food scientist has collected the data reported as following:

Calculate the main effects and two way interaction factorial effects. Which factorial effects are significant?

Run               Factor                  Response

         A         B            C

1         -         -            -           60

2         +         -            -           62

3         -         +            -           82

4         +         +            -           86

5         -         -            +           85

6         +         -            +           85

7         -         +            +           61

8         +         +            +           61

Answer:

A cheeseburger has 1090 calories and a taco supreme has 810 calories

Answer:

Explanation:

From the tape diagram, we can deduce the following;

*Total number of items = 87

*Number of subdivisions = 5 with one of them being a group of 39

Let's see which of the given stories that the tape diagram can represent;

A) Total number of first graders = 87

Students picked up = 39

Number of groups the remaining students were divided into = 4

We can see from the above that the tape diagram can represent this story

B) Number of children at the show = 87

Number of adults at the show = 39

Total number of people at the show = 87 + 39 = 126

We can see from the above that the tape diagram can not represent this story

C) Number of packs of pencils Lin bought = 87

Number of packs she gave to her teacher = 39

She then shared the remaining packs between herself and 3 friends

We can see from the above that the tape diagram can represent this story

D) Total amount Diego's family spent to a fair = $87

Amount spent on dinner = $39

They spent the remaining spent on 4 tickets

We can see from the above that the tape diagram can represent this story

E) Number of packs of paper clips Adre bought = 4

Number of paper clips in each = 39

Total number of paper clips bought = 39 x 4 = 156

We can see from the above that the tape diagram can not represent this story

Answer: C $2,640

Step-by-step explanation:

if she makes 240 a week and she worked there for 11 weeks you have multiple 11 x 240 which is 2,640

Answer:

x<9

Step-by-step explanation:

isolate the x by adding 4 on both sides. then add 4+5 to get 9.

i hope this helps :)

Answer:

The number of parents who volunteered to bring refreshments is 16.

Step-by-step explanation:

The information provided is:

N = 84

n (S) = 35

n (S ∩ R) = 11

n (R) = 1.5 × n (S' ∪ R')

Compute the value of n (S ∪ R) as follows:

\(n(S\cup R)=n(S)+n(R)-n (S\cap R)\\\\n(S\cup R)=n(S)+[1.5(N-n(S\cup R)]-n (S\cap R)\\\\n(S\cup R)=n(S)+1.5N-1.5n(S\cup R)-n (S\cap R)\\\\2.5n(S\cup R)=n(S)+1.5N-n (S\cap R)\\\\2.5n(S\cup R)=35+(1.5\times84)-11\\\\2.5n(S\cup R)=150\\\\n(S\cup R)=\frac{150}{2.5}\\\\n(S\cup R)=60\)

Now compute the value of n (R) as follows:

\(n (R) = 1.5 \times n (S' \cup R') \\\\n (R) = 1.5 \times [N-n (S \cup R)]\\\\n (R) = 1.5 \times [84-60]\\\\n(R)=16\)

Thus, the number of parents who volunteered to bring refreshments is 16.